Theorems · Theorem · special functions

PeriodPair.hasFPowerSeriesOnBall_weierstrassPExcept

∀ (L : PeriodPair) (l₀ x : ℂ) (r : NNReal),
  0 < r →
    Metric.closedBall x ↑r ⊆ (↑L.lattice \ {l₀})ᶜ →
      HasFPowerSeriesOnBall (L.weierstrassPExcept l₀) (L.weierstrassPExceptSeries l₀ x) x ↑r

Defined in: Mathlib.Analysis.SpecialFunctions.Elliptic.Weierstrass
Cited by: 3 results in Mathlib
Foundations: Depth 303 from the axioms · uses propext, Classical.choice, Quot.sound

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Cited by3

Results whose statement or proof uses this declaration.

PeriodPair.hasFPowerSeriesAt_weierstrassPExceptproof · cited by 1
PeriodPair.hasFPowerSeriesOnBall_derivWeierstrassPExceptproof · cited by 1
PeriodPair.hasFPowerSeriesOnBall_weierstrassPproof · cited by 0